Potato cylinders in sucrose solutions: 0.0, 0.2, 0.4, 0.6, 0.8 mol/L; initial mass 5.0 g each; final masses 5.6, 5.3, 5.0, 4.6, 4.2 g.马铃薯圆柱体置于蔗糖溶液(0.0、0.2、0.4、0.6、0.8 mol/L)中;初始质量各为 5.0 g;最终质量分别为 5.6、5.3、5.0、4.6、4.2 g。
Answer:答案: (a) +12%, +6%, 0%, -8%, -16%. +12%、+6%、0%、-8%、-16%。 (b) ~0.4 mol/L (no net change). 约 0.4 mol/L(无净变化)。 (c) Hypertonic solution: water leaves cell by osmosis down water potential gradient. 高渗溶液:水分沿水势梯度通过渗透作用离开细胞。 (d) Plant cells resist lysis (cell wall); animal cells lyse in hypotonic, crenate in hypertonic.植物细胞抵抗溶胞(细胞壁);动物细胞在低渗中溶胞,在高渗中皱缩。
(a) Percentage change in mass质量变化百分比 K1·A1
Using $\%\text{ change} = \dfrac{\text{final} - \text{initial}}{\text{initial}} \times 100\%$, with initial mass $= 5.0\ \text{g}$ throughout:使用 $\%\text{ 变化} = \dfrac{\text{最终} - \text{初始}}{\text{初始}} \times 100\%$,初始质量均为 $5.0\ \text{g}$:
- 0.0 mol/L: $(5.6 - 5.0)/5.0 \times 100 = +12\%$0.0 mol/L:$(5.6 - 5.0)/5.0 \times 100 = +12\%$
- 0.2 mol/L: $(5.3 - 5.0)/5.0 \times 100 = +6\%$0.2 mol/L:$(5.3 - 5.0)/5.0 \times 100 = +6\%$
- 0.4 mol/L: $(5.0 - 5.0)/5.0 \times 100 = 0\%$0.4 mol/L:$(5.0 - 5.0)/5.0 \times 100 = 0\%$
- 0.6 mol/L: $(4.6 - 5.0)/5.0 \times 100 = -8\%$0.6 mol/L:$(4.6 - 5.0)/5.0 \times 100 = -8\%$
- 0.8 mol/L: $(4.2 - 5.0)/5.0 \times 100 = -16\%$0.8 mol/L:$(4.2 - 5.0)/5.0 \times 100 = -16\%$
(Award 1 mark for any two correct calculations; 2nd mark for all five correct.)(任意两个计算正确得 1 分;五个全对得第 2 分。)
(b) Isotonic concentration等渗浓度 K1·A1
At $0.4\ \text{mol/L}$ the percentage change is exactly $0\%$ (final mass equals initial mass), so there is no net movement of water. This means the solute concentration of the sucrose solution equals the solute concentration of the potato cell cytoplasm at this concentration: the solution is isotonic with the potato tissue. The isotonic concentration is therefore $0.4\ \text{mol/L}$.在 $0.4\ \text{mol/L}$ 时质量变化百分比恰好为 $0\%$(最终质量等于初始质量),因此没有水分的净移动。这意味着蔗糖溶液的溶质浓度等于马铃薯细胞质的溶质浓度:该溶液与马铃薯组织等渗。因此等渗浓度为 $0.4\ \text{mol/L}$。
(c) Why potato cylinders lost mass in 0.6 and 0.8 mol/L马铃薯圆柱体在 0.6 和 0.8 mol/L 中质量减少的原因 K1·A1·A1
The sucrose solutions at $0.6$ and $0.8\ \text{mol/L}$ are hypertonic relative to the potato cells (their solute concentration exceeds that of the cytoplasm at $0.4\ \text{mol/L}$). In osmosis terms: the external solution has a lower water potential (more negative, due to higher solute concentration) than the cytoplasm inside the potato cells. Water moves by osmosis across the selectively permeable cell membranes from the region of higher water potential (inside the cells) to the region of lower water potential (the surrounding hypertonic solution). As water leaves the cells, the cells lose mass. The higher the sucrose concentration, the steeper the water potential gradient and the greater the water loss, explaining why the $0.8\ \text{mol/L}$ solution causes twice the percentage mass loss of the $0.6\ \text{mol/L}$ solution.$0.6$ 和 $0.8\ \text{mol/L}$ 的蔗糖溶液相对于马铃薯细胞是高渗的(其溶质浓度超过细胞质 $0.4\ \text{mol/L}$ 的浓度)。从渗透角度看:外部溶液的水势低于马铃薯细胞内的细胞质(由于溶质浓度更高,水势更负)。水分通过选择透性细胞膜,从水势高处(细胞内)向水势低处(周围的高渗溶液)渗透。水分离开细胞,导致细胞质量减少。蔗糖浓度越高,水势梯度越大,水分损失越多,这解释了为什么 $0.8\ \text{mol/L}$ 溶液导致的质量损失百分比是 $0.6\ \text{mol/L}$ 溶液的两倍。
(d) Plant cells with rigid cell walls versus animal cells具有坚硬细胞壁的植物细胞与动物细胞的比较 K1·A1·A1
The potato experiment uses plant cells (which have rigid cellulose cell walls). In a hypotonic solution (below isotonic, e.g., distilled water as in 0.0 mol/L): plant cells absorb water by osmosis, the vacuole swells, and the cell membrane presses against the wall, generating turgor pressure. The wall resists, so the cell does not burst (lysis is prevented). The cell becomes turgid. An animal cell in the same hypotonic solution would absorb water, swell, and eventually burst (lyse) because it has no cell wall to resist the pressure. In a hypertonic solution: both plant and animal cells lose water. Plant cells shrink away from the cell wall (plasmolysis), but the wall maintains its shape, so the outer appearance changes little. Animal cells (e.g., red blood cells) shrink and wrinkle (crenation). The key difference is that the cell wall of plant cells limits water entry and prevents lysis, while animal cells are entirely dependent on osmotic balance (isotonic conditions) for survival.马铃薯实验使用植物细胞(具有坚硬的纤维素细胞壁)。在低渗溶液中(低于等渗,如 0.0 mol/L 蒸馏水):植物细胞通过渗透作用吸水,液泡膨胀,细胞膜压向细胞壁,产生膨压。细胞壁抵抗膨胀,因此细胞不会涨破(防止溶胞)。细胞变得坚硬充满液体(膨胀态)。处于同一低渗溶液中的动物细胞会吸水、膨胀,最终涨破(溶胞),因为没有细胞壁来抵抗压力。在高渗溶液中:植物和动物细胞都会失水。植物细胞从细胞壁向内收缩(质壁分离),但细胞壁维持形状,因此外观变化不大。动物细胞(如红细胞)收缩起皱(皱缩)。关键区别在于:植物细胞的细胞壁限制水分进入并防止溶胞,而动物细胞的存活完全依赖渗透平衡(等渗条件)。
Osmosis experiments with plant tissue are a cornerstone of both AP Biology labs and AB/BC provincial assessments; the data interpretation follows the same water-potential logic every time.用植物组织进行的渗透实验是 AP 生物实验和阿省/卑省考评的基石;数据解读每次都遵循相同的水势逻辑。 The three key patterns to extract from osmosis data: (1) at the isotonic point, mass change $= 0$; (2) below isotonic (hypotonic solution for the cell), mass increases (water enters); (3) above isotonic (hypertonic solution for the cell), mass decreases (water leaves). Always express your reasoning in terms of water potential gradients: water moves from high water potential (low solute) to low water potential (high solute). The potato experiment is especially instructive because the isotonic concentration ($\approx 0.3$-$0.4$ mol/L sucrose in most biological tissues) can be read directly off the graph as the concentration where the line of best fit crosses the x-axis.从渗透实验数据提取的三个关键规律:(1) 在等渗点,质量变化 $= 0$;(2) 低于等渗(对细胞而言为低渗溶液),质量增加(水分进入);(3) 高于等渗(对细胞而言为高渗溶液),质量减少(水分离开)。始终用水势梯度来表达推理:水分从高水势(低溶质)流向低水势(高溶质)。马铃薯实验尤其具有教学意义,因为等渗浓度(大多数生物组织约为 $0.3$-$0.4$ mol/L 蔗糖)可直接从图表上读出,即最佳拟合线与 x 轴的交点对应的浓度。